4 1/2 : 1 6/9 Ratio Simplifier Calculator

Simplify Ratio 4 1/2 : 1 6/9 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 4 1/2 : 1 6/9

Convert 4 1/2 as an Improper Fraction

Given Mixed Number is 4 1/2

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 4 and the fractional part is 1/2.

On adding them, they can be written as:

4/1 + 1/2

The L.C.M of the denominators 1 and 2 is 2.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 2.

4 x 2 + 1/2

8 + 1/2

After multiplying, the numerators 8 and 1 should be added.

9/2

The fraction value we get is 9/2.

After converting the Mixed Number 4 1/2 to the Improper Fraction,the result is 9/2.

Convert 1 6/9 as an Improper Fraction

Given Mixed Number is 1 6/9

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 1 and the fractional part is 6/9.

On adding them, they can be written as:

1/1 + 6/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 9.

1 x 9 + 6/9

9 + 6/9

After multiplying, the numerators 9 and 6 should be added.

15/9

The fraction value we get is 15/9.

On simplifying the fraction,we get:

5/3

After converting the Mixed Number 1 6/9 to the Improper Fraction,the result is 5/3.

Find LCM of 2 and 3 is 6

Finding LCM of 2,3 by Common Division

Arrange the Inputs 2,3 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

Given numbers has no common factors except 1. So, there LCM is their product i.e 6

Finding LCM of 2,3 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(2, 3) = 1

LCM(2, 3) = ( 2 x 3 ) / 1

LCM(2, 3) = 6 / 1

LCM(2, 3) = 6

LCM of 2,3 is 6

We now have:

27/6 : 10/6

= 27 : 10

Find GCF of 27 and 10 is 1

Finding GCF of 27, 10 using Factoring

Given Input numbers are 27, 10

To find the GCF of numbers using factoring list out all the factors of each number

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Factor

We found the factors of 27, 10 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 27, 10 is 1.

Therefore, GCF of numbers 27, 10 is 1

Finding GCF of 27, 10 using Prime Factorization

Given Input Data is 27, 10

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 10 is 2 x 5

The above numbers do not have any common prime factor. So GCF is 1

Divide both terms by the GCF, 1:

27 ÷ 1 = 27

10 ÷ 1 = 10

Therefore the reduced ratio is 27:10

FAQs on Simplification of Ratios 4 1/2 : 1 6/9

1. What is Simplification of Ratios 4 1/2 : 1 6/9 ?

Simplification of Ratios 4 1/2 : 1 6/9 is 27:10

2. How to Simplify Ratios 4 1/2 : 1 6/9 ?

List the factors of both the terms individually. Find the GCF of 4 1/2 : 1 6/9 and divide both 4 1/2 : 1 6/9 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 4 1/2 : 1 6/9 can’t be simplified further?

You can say Ratios of 4 1/2 : 1 6/9 can’t be simplified further when you get the GCF.